Question

What is the slope of the line that is perpendicular to the line y=5/2x+2

Answer 1

When two lines are perpendicular, the slope of one is the negative reciprocal of the other.
so If the slope of one line is \(m\) , the slope of the other is \(-\frac{1}{m}\)

Answer 2

Would the answer be -5/2

Answer 3

slope of \(y=\frac{5}{2}x+2\) is \(5/2\) so slope of the line that is perpendicular to this line is \[-\frac{1}{\frac{5}{2}}=?\]

Answer 4

the slope will be (-2/5).......... your original slope is (5/2) to find the perpendicular slope you take the reciprocal AND the opposite sign (either + positive or negative -)

Answer 5

to check your answer simply multiply your original slope by your newly found slope and it should equal (-1)
(5/2)*(-2/5)=-1

Answer 6

Thank You